Conics

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what type of ellipse has these characteristics?

• vertical
• horizontal 

Tags

CCSS.HSG.GPE.A.1

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

• a = 10 , b = 6
• a = 6 , b = 10
• a = 36 , b = 100
• a = 100 , b = 36

Tags

CCSS.HSG.GPE.A.1

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

Tags

CCSS.HSG.GPE.A.1

In the equation (x-4)²+(y-3)²=25, the radius is

• 4
• 3
• 5
• 25

Tags

CCSS.HSG.GPE.A.1

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

-6x² + 4y² + 9x + y = -7

• Circle
• Parabola
• Ellipse
• Hyperbola

Find the directrix of the parabola:
(x - 4)² = 8(y + 3) 

• y = - 3
• x= 5
• y= - 5
• y= 2

Tags

CCSS.HSG.GPE.A.2

What is the focus of the following parabola?
(y + 5)² = -12 (x - 2)

• (2, - 5)
• ( -5, 2)
• (1 , -5 )
• (-1, -5 )

Tags

CCSS.HSG.GPE.A.2

Put the ellipse in standard form

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1